Difference of convex dc algorithm
WebOct 13, 2016 · Abstract. Motivated by a class of applied problems arising from physical layer based security in a digital communication system, in particular, by a secrecy sum-rate maximization problem, this paper studies a nonsmooth, difference-of-convex (dc) minimization problem. The contributions of this paper are (i) clarify several kinds of … WebIn this paper we consider a class of structured nonsmooth difference-of-convex (DC) minimization in which the first convex component is the sum of a smooth and a nonsmooth function while the second convex component is the supremum of finitely many convex smooth functions. The existing methods for this problem usually have weak convergence …
Difference of convex dc algorithm
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WebApr 10, 2024 · In this paper, a proximal bundle method is proposed for a class of nonconvex nonsmooth composite optimization problems. The composite problem considered here is the sum of two functions: one is convex and the other is nonconvex. Local convexification strategy is adopted for the nonconvex function and the corresponding convexification … WebMay 1, 2024 · The year 2015 marks the 30th birthday of DC (Difference of Convex functions) programming and DCA (DC Algorithms) which constitute the backbone of nonconvex programming and global optimization. In this article we offer a short survey on thirty years of developments of these theoretical and algorithmic tools. The survey is …
WebOct 25, 2024 · An Inertial Algorithm for DC Programming. W. Oliveira, M. Tcheou. Published 25 October 2024. Computer Science, Mathematics. Set-Valued and Variational Analysis. We consider nonsmooth optimization problems whose objective function is defined by the Difference of Convex (DC) functions. With the aim of computing critical points … WebJan 4, 2024 · Difference of convex programming (DCP) is a kind of important optimization problem that the objective function can be written as the difference of convex (DC) functions. The DCP problem has found many applications in assignment and power allocation [ 1 ], digital communication system [ 2 ], compressed sensing [ 3 ], and so on [ …
WebNov 1, 2024 · Download PDF Abstract: We introduce a new approach to apply the boosted difference of convex functions algorithm (BDCA) for solving non-convex and non-differentiable problems involving difference of two convex functions (DC functions). Supposing the first DC component differentiable and the second one possibly non … WebThe year 2015 marks the 30th birthday of DC (Difference of Convex functions) programming and DCA (DC Algorithms) which constitute the backbone of nonconvex programming and global optimization. In this article we offer a short survey on thirty years of developments of these theoretical and algorithmic tools. The survey is comprised of …
WebFeb 9, 2024 · Le Thi HA, Pham Dinh T (2024) DC programming and DCA: Thirty years of developments. Math. Programming 169 (1): 5 – 68. Google Scholar Digital Library; Le Thi HA, Van Ngai H, Pham Dinh T (2024) Stochastic difference-of-convex algorithms for solving nonconvex optimization
WebThere is a large class of functions f: R n ↦ R that are called DC because they can be represented as the difference of two convex functions, see for example [1,2]. This property can be exploited in various ways, especially for (hopefully global) optimization. towing with a tacoma 6 cylinderWebJul 17, 2024 · Abstract. We introduce two new algorithms to minimise smooth difference of convex (DC) functions that accelerate the convergence of the classical DC algorithm (DCA). We prove that the point computed by DCA can be used to define a descent direction for the objective function evaluated at this point. Our algorithms are based on a … power bi number of days in yearWebJan 22, 2024 · Projecting onto the constraint set in this example requires solving an optimization problem (using an iterative algorithm) each time we want to do it. $\endgroup$ – littleO Mar 21, 2024 at 20:52 power bi number from textWebJul 31, 2006 · This paper is devoted to difference of convex functions (d.c.) optimization: d.c. duality, local and global optimality conditions in d.c. programming, the d.c. algorithm (DCA), and its application to solving the trust-region problem. The DCA is an iterative method that is quite different from well-known related algorithms. Thanks to the … towing with a trikeWebof convex functions, called DC - Difference of Convex - functions. We now define such functions formally. Definition 1.1. Let f be a real valued function mapping R. n. to R. Then f is a DC function if there exist convex functions, g, h : R. n. → R such that f can be decomposed as the difference between g and h: f(x) = g(x) − h(x) ∀x ... towing with chevy traverseWebJun 9, 2024 · A proximal difference-of-convex algorithm with extrapolation to possibly accelerate the proximal DCA, and it is shown that any cluster point of the sequence generated by the algorithm is a stationary points of the DC optimization problem for a fairly general choice of extrapolation parameters. 113. Highly Influential. PDF. power bi number to text daxWebJan 1, 2024 · A proximal difference-of-convex algorithm with extrapolation to possibly accelerate the proximal DCA, and it is shown that any cluster point of the sequence generated by the algorithm is a stationary points of the DC optimization problem for a fairly general choice of extrapolation parameters. powerbi oauth2 data source